Periodic orbits of the spatial anisotropic Manev problem

DOI10.1063/1.4771902zbMath1331.70024OpenAlexW2047593671MaRDI QIDQ2872454

Ammar Makhlouf, Jaume Llibre

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150484

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Two-body problems (70F05)

Related Items (3)

Existence of hyperbolic motions to a class of Hamiltonians and generalized \(N\)-body system via a geometric approach ⋮ Unnamed Item ⋮ New families of symmetric periodic solutions of the spatial anisotropic Manev problem

Cites Work

• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• On the global dynamics of the anisotropic Manev problem
• Phase portraits of the two-body problem with Manev potential
• Stability in the anisotropic Manev problem
• On the anisotropic Manev problem
• The global flow of the Manev problem
• Stability and instability in the anisotropic Kepler problem
• Nonintegrability and chaos in the anisotropic Manev problem

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